REALLY agree with the no steriod creams around the eye area.
I have a severe chronic eczema condition which has developed over the past two years. The easiest thing you can do to combat symptoms is include more alkali-forming food in your diet. You need to eat the RAW version of the food to get the most bang for your buck, unless it's a bean. All vegetable and fruit juices are alkali-forming. Most potent are: fig juice, green juices of all vegetables and tops, carrot, beet, celery, pineapple and citrus juice.
Figs are the most potent alkali forming food from all the lists I have found. Other highly alkaline foods are Soy Beans, Lima beans, apricots, Spinach, turnip/beet tops, swiss chard, almonds, carrots, dates, celery, cucumber, Fresh beans, black/raspberries and grapes.
You can get a lot of information off Google searches for
alkali foods, alkali forming foods and acidosis.
Your symptoms sound like it's in pretty early stages so you should be able to correct it easily. I put Eucerin on the itchy patches because it moisturizes and doesn't have any additives. Cetaphil also works AFTER the lesion has flared and dried out. Sometimes just plain old vaseline works too.
Hope this helps.